Question

You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001. For the context of this problem, the first data set represents a pre-test and the second data set represents a post-test. You'll have to be careful about the direction in which you subtract.

Ho:μd=0Ho:μd=0

Ha:μd>0Ha:μd>0

You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n=47n=47 subjects. The average difference (post - pre) is ¯d=9.8d¯=9.8 with a standard deviation of the differences of sd=32.1sd=32.1.

- What is the test statistic for this sample?

test statistic = Round to 4 decimal places. - What is the p-value for this sample? Round to 4 decimal
places.

p-value = - The p-value is...
- less than (or equal to) αα
- greater than αα

- This test statistic leads to a decision to...
- reject the null
- accept the null
- fail to reject the null

- As such, the final conclusion is that...
- There is sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is greater than 0.
- There is not sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is greater than 0.
- The sample data support the claim that the mean difference of post-test from pre-test is greater than 0.
- There is not sufficient sample evidence to support the claim that the mean difference of post-test from pre-test is greater than 0.

Answer #1

Answer---->>

Here z value probability calculate from standard normal distribution table.

You wish to test the following claim (HaHa) at a significance
level of α=0.001α=0.001. For the context of this problem,
μd=μ2−μ1μd=μ2-μ1 where the first data set represents a pre-test and
the second data set represents a post-test.
Ho:μd=0Ho:μd=0
Ha:μd>0Ha:μd>0
You believe the population of difference scores is normally
distributed, but you do not know the standard deviation. You obtain
pre-test and post-test samples for n=22n=22 subjects. The average
difference (post - pre) is ¯d=25.6d¯=25.6 with a standard deviation...

You wish to test the following claim (HaHa) at a significance
level of α=0.001α=0.001. For the context of this problem,
μd=μ2−μ1μd=μ2-μ1 where the first data set represents a pre-test and
the second data set represents a post-test.
Ho:μd=0Ho:μd=0
Ha:μd<0Ha:μd<0
You believe the population of difference scores is normally
distributed, but you do not know the standard deviation. You obtain
pre-test and post-test samples for n=50n=50 subjects. The average
difference (post - pre) is ¯d=−6.7d¯=-6.7 with a standard deviation
of...

You wish to test the following claim (HaHa) at a significance
level of α=0.001α=0.001. dd denotes the mean of the
difference between pre-test and post-test
scores.
Ho:μd=0Ho:μd=0
Ha:μd<0Ha:μd<0
You believe the population of difference scores is normally
distributed, but you do not know the standard deviation. You obtain
the following sample of data:
post-test
pre-test
49.3
31.9
47.1
27.5
42.6
40.9
42.2
43.4
41.5
39.1
41.8
52.5
33.5
17
42.9
40.1
33.5
31.6
39.8
57.2
47.1
45.7
46.5
50.9
51.7
52.4...

You wish to test the following claim (HaHa) at a significance
level of α=0.01α=0.01. For the context of this problem,
μd=μ2−μ1μd=μ2-μ1 where the first data set represents a pre-test and
the second data set represents a post-test.
Ho:μd=0Ho:μd=0
Ha:μd<0Ha:μd<0
You believe the population of difference scores is normally
distributed, but you do not know the standard deviation. You obtain
pre-test and post-test samples for n=50n=50 subjects. The average
difference (post - pre) is ¯d=−18.8d¯=-18.8 with a standard
deviation of the...

You wish to test the following claim (HaHa) at a significance
level of α=0.02α=0.02. For the context of this problem,
μd=μ2−μ1μd=μ2-μ1 where the first data set represents a pre-test and
the second data set represents a post-test.
Ho:μd=0Ho:μd=0
Ha:μd≠0Ha:μd≠0
You believe the population of difference scores is normally
distributed, but you do not know the standard deviation. You obtain
pre-test and post-test samples for n=14n=14 subjects. The average
difference (post - pre) is ¯d=−17.4d¯=-17.4 with a standard
deviation of the...

You wish to test the following claim (HaHa) at a significance
level of α=0.01α=0.01. For the context of this problem,
μd=μ2−μ1μd=μ2-μ1 where the first data set represents a pre-test and
the second data set represents a post-test.
Ho:μd=0Ho:μd=0
Ha:μd>0Ha:μd>0
You believe the population of difference scores is normally
distributed, but you do not know the standard deviation. You obtain
pre-test and post-test samples for n=12n=12 subjects. The average
difference (post - pre) is ¯d=7.1d¯=7.1 with a standard deviation
of the...

You wish to test the following claim (HaHa) at a significance
level of α=0.005α=0.005. For the context of this problem,
μd=PostTest−PreTestμd=PostTest-PreTest one data set represents a
pre-test and the other data set represents a post-test. Each row
represents the pre and post test scores for an individual.
Ho:μd=0Ho:μd=0
Ha:μd≠0Ha:μd≠0
You believe the population of difference scores is normally
distributed, but you do not know the standard deviation. You obtain
the following sample of data:
pre-test
post-test
63.4
104.2
65.8
90...

You wish to test the following claim (HaHa) at a significance
level of α=0.05α=0.05. For the context of this problem,
μd=PostTest−PreTestμd=PostTest-PreTest where the first data set
represents a pre-test and the second data set represents a
post-test. (Each row represents the pre and post test scores for an
individual. Be careful when you enter your data and specify what
your μ1μ1 and μ2μ2 are so that the differences are computed
correctly.)
Ho:μd=0Ho:μd=0
Ha:μd≠0Ha:μd≠0
You believe the population of difference scores...

You wish to test the following claim (HAHA) at a significance
level of α=0.01α=0.01. For the context of this problem,
μd=μ2−μ1μd=μ2-μ1 where the first data set represents pre-strike
production and the second data set represents post-strike
production.
Ho:μd=0Ho:μd=0
HA:μd<0HA:μd<0
You believe the population difference of production is normally
distributed, but you do not know the standard deviation. You obtain
pre-strike and post-strike production samples for n=6n=6 subjects.
The average difference (post - pre) is ¯d=−47.4d¯=-47.4 with a
standard deviation of...

You wish to test the following claim (H1H1) at a significance
level of α=0.10α=0.10. For the context of this problem,
d=x2−x1d=x2-x1 where the first data set represents a pre-test and
the second data set represents a post-test.
Ho:μd=0Ho:μd=0
H1:μd>0H1:μd>0
You believe the population of difference scores is normally
distributed, but you do not know the standard deviation. You obtain
pre-test and post-test samples for n=39n=39 subjects. The average
difference (post - pre) is ¯d=3.1d¯=3.1 with a standard deviation
of the...

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